Answer: 1400 students
Explanation:
Total = 4000
Senior = 1/8 x 4000 = 500
Senior not in favor of debate = ( 1 - 1/5) x 500 = 400
Non senior = 4000 - 500 = 3500
Non-senior not in favor of debate = (1 - 5/7) x 3500 = 1000
Total = 400 + 1000 = 1400
Answer: x=3 and y=−2
Step-by-step explanation:
x=−2y−1;4x−4y=20
Step: Solve x=−2y−1 for x:
Step: Substitute−2y−1 for x in 4x−4y=20:
4x−4y=20
4(−2y−1)−4y=20
−12y−4=20(Simplify both sides of the equation)
−12y−4+4=20+4(Add 4 to both sides)
−12y=24
−12y
−12
=
24
−12
(Divide both sides by -12)
y=−2
Step: Substitute−2 for y x=−2y−1:
x=−2y−1
x=(−2)(−2)−1
x=3(Simplify both sides of the equation)
Answer: Positive
Step-by-step explanation:
A scatter plot for speed and distance is created.
We know that distance = speed x time
Hence when speed increases , distance increases and similarly when speed decreases, distance decreases.
Thus if we plot on x axis distance, we find that x increases when y increases.
So we find that there is a strong positive relationship between the two variable
D=tS
where D= distance S=speed and T=time.
Since D varies directly as speed, we have positive relationship.
Hope this helps! :)
